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Finding the Fourth Proportional to 8,083.86, 12,117.92 and 3,866.01

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Solution

The fourth proportional to 8,083.86, 12,117.92 and 3,866.01 is: 5,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.86 : 12,117.92 = 3,866.01 : x
  2. Step 2: Convert to fraction form
    8,083.86/12,117.92 = 3,866.01/x
  3. Step 3: Cross multiply
    8,083.86x = 12,117.92 × 3,866.01
  4. Step 4: Simplify right side
    8,083.86x = 46,847,980.57
  5. Step 5: Solve for x
    x = 46,847,980.57/8,083.86
  6. Step 6: Final answer
    x = 5,795.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.